Factor b^2+4ab+4a^2

Math
b2+4ab+4a2
Rewrite 4a2 as (2a)2.
b2+4ab+(2a)2
Check that the middle term is two times the product of the numbers being squared in the first term and third term.
4ab=2⋅b⋅(2a)
Rewrite the polynomial.
b2+2⋅b⋅(2a)+(2a)2
Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2, where a=b and b=2a.
(b+2a)2
Factor b^2+4ab+4a^2

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